1. Ms-Brains

2. freckles

apply distributive property where possible distributive property says a(b+c) is equal to ab+ac I see you have 3(x-y) apply distributive property there

3. freckles

you can tell me what you get when you apply distributive property to 3(x-y)?

4. Ms-Brains

3xy? or 3(y-x) p Idk how to do the distributive property

5. freckles

you do see distributive property is a(b+c)=ab+ac we are taking the outer number and multiplying it to both terms inside the ( )?

6. freckles

example 6(2+7) is the same as 6*2+6*7 though we didn't need distributive property here because we know what 2+7 is... 6(2+7)=6(9)=54 but we see we get the same number using the distributive property 6(2+7)=6*2+6*7=12+42=54

7. freckles

here we can't do y take away x because we don't know what x and y are so you have to apply distributive property here where you have 3(x-y)

8. freckles

3(x-y) is the same as 3x-3y

9. freckles

$3x+4y+3(x-y)-4x \\ 3x+4y+3x-3y-4x$

10. freckles

now using that addition is commutative to place like terms together

11. freckles

commutative property is just changing the order

12. Ms-Brains

so for the first slot it's written like 3x+4y+3x-3y-4y = Distributive property??

13. freckles

almost

14. freckles

you want to leave that last term as it was we didn't do anything to it

15. Ms-Brains

Umm, how do you write exactly? I'm a little lost on what your saying...sorry

16. freckles

should be 3x+4y+3x-3y-4x by use of the distributive property

17. freckles

-4x doesn't just turn into -4y

18. Ms-Brains

Oh! I got it! Okay give me a sec to write it, and then we can move to the next slot?

19. Ms-Brains

I got it! so next one?

20. freckles

have you tried changing the order to put like terms together yet? that was what I suggested above.... I also gave the name of this property too. :) You try it and I will check it.

21. Ms-Brains

Wait, what do you want me to do?

22. freckles

change the order so like terms are together

23. freckles

like terms are terms with the same variable part

24. freckles

you should see three terms that have the common variable x you should see two terms that have the common variable y

25. freckles

put all your x terms together and put all your y terms together

26. Ms-Brains

10x +7y Like that?

27. Ms-Brains

@freckles

28. freckles

like if I had a+a+b+a+b-4a reorder so that like terms are together a+a+a-4a+b+b

29. Ms-Brains

3x+3x+4x=10x 4y+3y=7

30. Ms-Brains

^^ That?

31. freckles

you shouldn't change the sign in front of the term you had 3x+4y+3x-3y-4x by commuative property we can write this as 3x+3x-4x+4y-3y

32. Ms-Brains

Oh... I was supposed to add all the X's in order, and all the y's after that?

33. freckles

Example: $a+a+b+a+4(\frac{1}{4}b-a) \text{ given } \\ a+a+b+a+4 \cdot \frac{1}{4} b-4a \text{ by distributive property } \\ a+a+b+a+b-4a \text{ by simplification } \\ a+a+a-4a+b+b \text{ by commutative property } \\ (a+a+a-4a)+(b+b) \text{ by associative property } \\ a(1+1+1-4)+b(1+1) \text{ by distributive property } \\ a(-1)+b(2) \text{ by simplification } \\ -a+2b \text{ by commautive property }$

34. freckles

anyways I be back I have thing

35. Ms-Brains

Wait you're leaving?! I thought you'd help me finish the problem??

36. Ms-Brains

@freckles COME BACK!!!!!

37. Ms-Brains

Math tease.

38. freckles

Sorry. I had something come up. Anyways I hoped the example helped.